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Tight upper bound on the quantum value of Svetlichny operators under local filtering and hidden genuine nonlocality

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Abstract

Nonlocal quantum correlations among the quantum subsystems play essential roles in quantum science. The violation of the Svetlichny inequality provides sufficient conditions of genuine tripartite nonlocality. We provide tight upper bounds on the maximal quantum value of the Svetlichny operators under local filtering operations, and present a qualitative analytical analysis on the hidden genuine nonlocality for three-qubit systems. We investigate in detail two classes of three-qubit states whose hidden genuine nonlocalities can be revealed by local filtering.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant Nos. 11775306, 11701568, 11675113, and 12075159), the Fundamental Research Funds for the Central Universities (Grant Nos. 18CX02035A, 18CX02023A, and 19CX02050A), Beijing Municipal Commission of Education under Grant No. KZ201810028042, Beijing Natural Science Foundation (Z190005), Academy for Multidisciplinary Studies, Capital Normal University, and Shenzhen Institute for Quantum Science and Engineering, Southern University of Science and Technology (Grant No. SIQSE202005).

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Authors and Affiliations

  1. College of the Science, China University of Petroleum, Qingdao, 266580, China

    Ling-Yun Sun, Li Xu, Jing Wang, Ming Li, Shu-Qian Shen & Lei Li

  2. School of Mathematical Sciences, Capital Normal University, Beijing, 100048, China

    Shao-Ming Fei

  3. Max-Planck-Institute for Mathematics in the Sciences, Leipzig, 04103, Germany

    Shao-Ming Fei

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  1. Ling-Yun Sun
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  2. Li Xu
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  4. Ming Li
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  7. Shao-Ming Fei
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Correspondence to Ming Li.

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This article can also be found at http://journal.hep.com.cn/fop/EN/10.1007/s11467-020-1015-z.

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Sun, LY., Xu, L., Wang, J. et al. Tight upper bound on the quantum value of Svetlichny operators under local filtering and hidden genuine nonlocality. Front. Phys. 16, 31501 (2021). https://doi.org/10.1007/s11467-020-1015-z

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